Both Desert King & Latarrula would do well. Currently both my DK & Latarrula are giving me lots(hundreds) of figs. Both are most reliable for Pacific Northwest. For productivity it will be DK. With BM, likely it will die if kept outdoors. If not you will see few figs as the colder spring weather will make the brebas drop and main crop need higher heat units to ripen come late Sept/Oct. otherwise they taste terrible. I gave up on my BM long time ago. Other variants you can consider that produces reliably here in Vancouver, British Columbia are Longue d'Aout, Osborne Prolific, Hardy Chicago, Marseillies VS and the new one Gino. Other variants like Atreano, BT's, Stella & Negronne commonly marketed here do not do as well without greenhouse help.
Note - DK, Latarrula can be grown in-ground further away from the house. Others -- as close as possible to the house where micro climate or pot culture helps.